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Finding the Fourth Proportional to 7,204.47, 10,804.26 and 2,820.75

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Solution

The fourth proportional to 7,204.47, 10,804.26 and 2,820.75 is: 4,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.47 : 10,804.26 = 2,820.75 : x
  2. Step 2: Convert to fraction form
    7,204.47/10,804.26 = 2,820.75/x
  3. Step 3: Cross multiply
    7,204.47x = 10,804.26 × 2,820.75
  4. Step 4: Simplify right side
    7,204.47x = 30,476,116.40
  5. Step 5: Solve for x
    x = 30,476,116.40/7,204.47
  6. Step 6: Final answer
    x = 4,230.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.